A Symbolic Operator Approach to Power Series Transformation-Expansion Formulas
Tian-Xiao He
Department of Mathematics and Computer Science
Illinois Wesleyan University
Bloomington, IL 61702-2900
USA
Abstract:
In this paper we discuss a kind of symbolic operator method by making
use of the defined Sheffer-type polynomial sequences and their
generalizations, which can be used to construct many power series
transformation and expansion formulas. The convergence of the
expansions are also discussed.
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(Concerned with sequences
A000262
A052844
A084358
A129652
A129653 and
A133289 .)
Received November 20 2007;
revised version received April 21 2008.
Published in Journal of Integer Sequences, July 5 2008.
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